SOLUTION: What is the remainder when 2x^4 - 4x^2 + 2x + 1 is divided by 2x - 3. Please show step.

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Question 457433: What is the remainder when 2x^4 - 4x^2 + 2x + 1 is divided by 2x - 3. Please show step.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
2x^4 - 4x^2 + 2x + 1 is divided by 2x - 3

              x³ + 1.5x² + .25x + 1.375
2x - 3)2x⁴+ 0x³ -   4x² +   2x +     1
       2x⁴- 3x³
             3x³ -   4x²
             3x³ - 4.5x²
                    .5x² +   2x 
                    .5x² - .75x
                          2.75x +     1
                          2.75x - 4.125
                                  5.125

                                      5.125 
Answer:  x³ + 1.5x² + .25x + 1.375 + ——————
                                     2x - 3

To get the 1.5 we divided the 3 by 2
To get the .25 we divided the .5 by 2
To get the 1.375 we divided the 2.75 by 2.

Edwin